Teaching calculus blog. on the history of the calculus.

Teaching calculus blog He teaches at Yeshiva Atlanta High School, in Atlanta, Georgia. Check Out Our Other Math Blogs: Teaching Calculus The pleasure lies not in discovering the truth, but in searching for it. The context is the density of bacteria growing in a Unit 7 is an introduction to the initial ideas and easy techniques related to differential equations . For several years now, I’ve been posting a series of notes on reviewing for the AP Calculus Exams. I was definitely more terrified than excited when I was offered the class. I’ve enjoyed writing the posts and answering your questions since 2012. I had wanted to teach it for a couple of years, but remote learning had been incredibly difficult 1. The On Scaling post contains a TI-8x program that will for the calculations for you. The same links are Teaching Calculus The pleasure lies not in discovering the truth, but in searching for it. Now I can see why computers can’t teach college courses — and why tools like Knewton are not just destructive, they’re evil. The “Pedagogy” sections had notes on pacing, teaching, testing, grading, and Also worth your time is the Calc-Medic Blog with posts on topics related to AP Calculus and teaching AP Calculus. . The blog and all its resources will be here for the foreseeable future. Relating derivatives and definite integrals. Please share any of the posts that you think will be helpful with them. Today’s Blog is an exploration that will lead up to the Mean Value Theorem (MVT) and, I hope, help your students better understand the MVT and why it is true. There are posts on pedagogy, the AP Exams, original videos by the authors, slide decks, and discussion of individual topics in more detail. These provide helpful insights for the teacher. Before Calculus; The Why Series; Graphing Calculator Use; AP Exam Review; Unit 1 – Limits and Continuity; Unit 2 – Differentiation; Unit 3 – Differentiation; 2021 AB 1 / BC 1. Be sure the calculator is in radian mode. As you get ready to start school, here are some thoughts on the first week in AP Calculus. I’ve published posts on each. I looked back recently at some of the “first week of school” advice I offered in the past. Implicit Differentiation (9-28-2017) Where to start this topic. There is a lot here, but the presentation is more of a brain dump than a structured approach to teaching Calculus. for calculus teachers and students by Lin McMullin. Updated 4/29/2020 One teacher observed that her students do not have a very solid understanding of polar graphs when they get to calculus. Before Calculus; The Why Series; Graphing Calculator Use; AP Exam Review; Unit 1 – Limits and Continuity; Unit 2 – Differentiation; Unit 3 – Differentiation; This is the first of a series of blog posts that I plan to write over the next few months, staying a little ahead of where you are so you can use anything you find useful in your planning. The first post will appear next Tuesday August 22, 2023. This coming year, I will be stepping away from this blog; I am not planning any new posts. Remember that not everyone enjoys math. Accumulation: Need an Amount? An important and always tested application. Teachers need not only to be aware of them but be sure to point them out to students. Pacing Guides. Local Linearity 2 Using local linearity to approximate the tangent line. Properly applied they should have an impact on the entire curriculum. This blog is for high school calculus teachers and students, and others interested in teaching and learning calculus. The Fundamental Theorem of Calculus (12-17-2012) Very important and fundamental. The “Before Calculus” section discusses things usually taught before calculus. AP Calculus Exam Review Posts. Thank-you. For each topic below, I have put together an index of all the resources I have created for the topic as well as links to resources from other teachers. I taught out of your little yellow trig book. Good Question 11 – Riemann Reversed (11-29-2016) Given a 1 post published by Lin McMullin during October 2020. Dan Anderson, another reader of this blog, sent this link to a Desmos graph he made that will calculate the Kennedy scale score for your tests. relate the concept of a limit to all aspects of calculus; b. This year I I was very, very lucky to have, for 2nd-semester calculus, a teacher who FELT and, for me, conveyed the BEAUTY of mathematics. HOME c. This tab will guide you to the information on the blog. Before Calculus; The Why Series; Graphing Calculator Use; AP Exam Review; Unit 1 – Limits and Continuity; Unit 2 – Differentiation; Unit 3 – Differentiation; Also worth your time is the Calc-Medic Blog with posts on topics related to AP Calculus and teaching AP Calculus. Resources for Pre-Calculus Teachers. What to Teach in Precalculus You might also be interested in what I teach in Algebra 2 or what I teach in my non-AP Calculus class. It will help sort through the approximately five hundred posts and find those that concern the topic you are interested in. 1. Set Notation: It all starts with Set Notation. Math truly does equal love for teacher Sarah Carter, who met her Math teaching husband via her blog. Posts by Topics. We will look at ways to adapt, expand, and explore this question to help students better understand it and look at other questions that can be asked based on a similar stem. There are about 360 posts and it’s getting difficult for me to find things. I would like your ideas, suggestions, and questions about calculus and teaching calculus. Early in the year, it is The new 2019 AP Calculus AB and BC Course and Exam Description is now available. While ideally the polar coordinate system should be a major topic in pre-calculus courses, this is sometimes not the case. I expect this is a common problem. Therefore, here are two alternative methods I use that are faster and easier than the traditional So what’s calculus about? Some define calculus as “the branch of mathematics that deals with limits and the differentiation and integration of functions of one or more variables”. A. (Since this is a calculus blog, there is a calculus exercise in the appendix below that analyzes this scheme. The subject is the need to make math fun for Teaching Calculus The pleasure lies not in discovering the truth, but in searching for it. Note: I have just started my blog. d. Visit the website and learn about Calculus without Teaching Calculus: Where to start? “Why is it so difficult for my students to understand the notion of a limit? How can I help my students understand the derivative of a function?” I have heard these questions so In my five years of teaching calculus, I’ve noticed that students often struggle with partial fractions and integration by parts. ‘Math Equals Love’ features practical and engaging lessons and resources, focusing on basic Math, algebra, pre-calculus, statistics, and even throwing in some science too. AP Accumulation Questions Two good questions for teaching and learning accumulation. All the way through the teaching and learning of mathematics these connections exist. If you are teaching Calculus online, these obstacles might become even more significant. Differential Equations The basics and definitions. The ten types have not changed over the years, so there is not much to add. 1 Calculus uses limits to understand and model dynamic change. Here’s my take: Graphing Calculator Use – What students need to know how to do for the exam and ideas for using calculators to help with different topics. Click each to see more. MATH TEACHING RESOURCE INDEX . CHA-1. Previous Teaching: Math 246A (Complex analysis) F'24; Math 246B (Complex analysis) W'24; Posts about resources written by Lin McMullin. The students can easily find them. Here’s a quick (actually, a bit longer than I planned) summary with some new ideas. That book, along with your teacher notes, framed the last 45 years for me. ) A Better Choice for Scaling – the Kennedy Scale. Considering this is a good starting point when designing your Calculus course and the learning objectives. Before Calculus; The Why Series; Graphing Calculator Use; AP Exam Review; Unit 1 – Limits and Continuity; Unit 2 This appeared as a reply to a question on the AP Calculus Community bulletin board on August 1, 2015. This is a Reimann sum and Table question (Type 5) and covers topics from Units 6 and 8 from the current Course and Exam Description. Search. Before Calculus; The Why Series; Graphing Calculator Use; AP Exam Review; Unit 1 – Limits and Continuity; Unit 2 Eight of nine. A Guest Post Series by Dr. Before Calculus; The Why Series; Graphing Calculator Use; AP Exam Review; Unit 1 – Limits and Continuity; Unit 2 – Differentiation; Unit 3 – Differentiation; Blog Posts: Local Linearity 1 The graphical manifestation of differentiability with pathological examples. on the history of the calculus. You’ll have to solve your other problems on your own. It consists of comments, suggestions, hints, and observations on the topics This blog will give a brief introduction about how I teach calculus I,II and III using inquiry, providing resources, tools and some classroom videos along the way. While no method is perfect, this method suggested in Assessing True Academic Success by Dan Kennedy [1] is a reasonable and easy one. A calculator exploration. Blog Posts The Hindu-Arabic Series – the most import series. TI‐Nspite CAS: Home Screen [MENU] [4: Calculus] [3] and fill in the template. Here is the new line up on the black navigation menu at the top of each page. It consists of comments, suggestions, hints, and observations on the topics in the course. Search for: Blog; Pre-Calculus Curriculum Map; Member Login; Join Now! a Slide Show, and a Sets Worksheet to help you out with this teaching Sets to your students. See also blog posts on calculus teaching. Foreshadowing the FTC (12-15-2014) An example shows how the FTC works. It’s correct, but not helpful for beginners. Hi and welcome to From Calculus to Cupcakes. -Steve Jobs Continuing the series on the Mathematical Practices for AP Calculus (MPACs) today we look at MPAC 2. Nevertheless, I will write more. Don’t give hundreds of dollars to bloodsucking parasites publishing corporations. Look for this series every 2 - 4 weeks. The questions on the AP Calculus exams, both multiple-choice and free response, fall into ten types. Before Calculus; The Why Series; Graphing Calculator Use; AP Exam Review; Unit 1 – Limits and Continuity; Unit 2 Teaching Calculus The pleasure lies not in discovering the truth, but in searching for it. The main sections of Calculus is a subject that can be difficult for certain students, thus the way it is taught has generated discussion and thought over the years. Lin, I want to thank you for all of the time and effort you have put into this blog. I am a former Calculus teacher, who loves to cook and bake. Also worth your time is the Calc-Medic Blog with posts on topics related to AP Calculus and teaching AP Calculus. More About the FTC (12-19-2012) What the FTC really means and why it’s important. The questions on the AP Calculus exams, both multiple-choice and free response, fall into ten types. 3 Differentiating Inverse Functions. Before Calculus; The Why Series; Graphing Calculator Use; AP Exam Review; Unit 1 – Limits and Continuity; Unit 2 – Differentiation; Unit 3 – Differentiation; The calculus examples in the MPACs may easily be changed to apply to mathematics teaching and learning earlier in the curriculum. Active Multi – soon with the vector calculus chapter included: Mitch Keller and Nick Long have been hard at work on their additional chapter on vector calculus, and we will soon release that as part of the standard HTML for Active Multi. use the connection between concepts (e. Before Calculus; The Why Series; Graphing Calculator Use; AP Exam Review; Unit 1 – Limits and Continuity; Unit 2 Since 2012 this blog has been written with teachers in mind, hence the title “Teaching Calculus. Doing the calculations. FUN-3. There is a little twist in part (b). Casio Prism syntax: Run‐Matrix screen [F4 math], [F6],[ F1] enter functions and values Other useful ideas 1. These topics account for about 6 – 12% of questions on the AB exam and 6 – 9% of the BC questions. Teaching Calculus The pleasure lies not in discovering the truth, but in searching for it. The last Teaching Calculus The pleasure lies not in discovering the truth, but in searching for it. The posts may be found under the “Blog Guide” tab above: click on AP Exam Review. Latest on the blog June 04, 2021. Pacing for AP Calculus hints for planning your year Teaching Calculus The pleasure lies not in discovering the truth, but in searching for it. Before Calculus; The Why Series; Graphing Calculator Use; AP Exam Review; Unit 1 – Limits Since 2012 this blog has been written with teachers in mind, hence the title “Teaching Calculus. Before Calculus; The Why Series; Graphing Calculator Use; AP Exam Review; Unit 1 – Limits and Continuity; Unit 2 – Differentiation; Unit 3 – Differentiation; In my five years of teaching calculus, I’ve noticed that students often struggle with partial fractions and integration by parts. I am a new AP Calculus teacher this year and I have found your notes to be timely and beneficial to my students. Getting Started Hints and suggestions for starting the year with links to other posts. Therefore, here are two alternative methods I use that are faster and easier than the traditional Teaching Calculus The pleasure lies not in discovering the truth, but in searching for it. is a a mathematician; a teacher of math, science, and music at a classical Catholic high school; a philosophy student at Holy Apostles College and Seminary, a former literature student at Signum University; an amateur theologian; a lover of Catholic liturgy; a His first talk, "The Structure of a Deep Neural Net", was in a minisymposium titled "Deep Learning and Deep Teaching", which he organized. , differentiation and its inverse process, You will probably have your students write Riemann sums with a small value of n when you are teaching Riemann sums leading up to the Fundamental Theorem of Calculus. The ten types have not changed over the Also worth your time is the Calc-Medic Blog with posts on topics related to AP Calculus and teaching AP Calculus. Illuminated by unique historical perspective and expertise, as the author did his Ph. MPAC 2: Connecting concepts Students can: a. If the goal is to help students learn to think and work like mathematicians, then starting in AP Calculus is way too late. Today is this blog’s tenth anniversary! My first post was on July 15, 2012. AP Exam Review – The ten type questions and Anyone teaching Calculus should read this book to gain an appreciation of how Calculus works, written in everyday language for anyone to understand. Accumulation An introductory activity to explore accumulation and the relationship between an accumulation and derivatives. The Derivative 1 Definition of the derivative. It looks like I’ll be teaching BC calculus and Algebra 1 – two of my favorite classes. While I have enjoyed writing and working primarily with teachers for the last 15 years, I’m looking forward to “going back to the classroom” as they say. If you are a calculus teacher or student, I hope the things I’ve learned and hope to share here will be of use to you and your students. I was literally going from teaching Calculus to baking cupcakes all in one day. ” Students may read it too; I hope they do and find it helpful. That’s the beauty of this book - you don’t even need to fully grasp math concepts to This tab will guide you to the information on the blog. There are about 360 posts and it's getting difficult for me to find things. I’ve been working this month on making things at the Teaching Calculus blog easier to find. A Interpret the rate of change at an instant in terms of average rates of change over intervals containing that instant. They are not ranked in any particular order. Good Question 2: 2002 BC 5 A differential equation that cannot be solved by separating the variables is investigated anyway. A free calculus textbook. The multiple-choice exams from 2003, 2008 and 2012 and all the free-response questions and solutions from past years are available online. For that reason I'd like to post a link on my blog. When I first began blogging, I was still teaching Calculus and sold cupcakes at a local farmers’ market, so that is where the name of this blog came from. D. AP Calculus teachers find it helpful to use actual AP free-response (FR) and multiple-choice (MC) questions on their exams and for homework throughout the year. The This year, I taught AP Calculus AB for the first time, ever. This winter I am teaching Math 254A (analytic number theory). Watch for a post here on the blog from Mitch and Nick that shares more detail. There are posts on pedagogy, the AP Exams, original This blog is for high school calculus teachers and students, and others interested in teaching and learning calculus. Got a problem to solve? Also worth your time is the Calc-Medic Blog with posts on topics related to AP Calculus and teaching AP Calculus. 1 post published by Lin McMullin during October 2022. Before Calculus; The Why Series; Graphing Calculator Use; AP Exam Review; Unit 1 – Limits and Continuity; Unit 2 – Differentiation; Unit 3 – Differentiation; Teaching Calculus The pleasure lies not in discovering the truth, but in searching for it. (CED – 2019 p. Joseph Torres, Ph. The Derivative 2 Calculators and difference quotients 2 posts published by Lin McMullin during July 2020. Skip to content. To guarantee that students gain a thorough and comprehensive comprehension of the key concepts, the calculus teaching foundation is essential. Solutions 9) Google Search. May they help you to the nth power and assist your teen with all of his functional needs. Thank you for your support and encouragement for the Teaching Calculus blog. I’ve been using your review topics and example problems with my class as we prepare for the exam and your commentary has been extremely helpful. Home; Blog Guide. One of the most read blogs. 😉 ). Please email Here are 10 Best Calculus Blogs you should follow in 2025. Quantum Calculus. The problem is that I’ve sort of run out of topics and ideas. Blog Posts. Before Calculus; The Why Series; Graphing Calculator Use; AP Exam Review; Unit 1 – Limits and Continuity; Unit 2 Implicit Differentiation Approaches to teaching about implicit differentiation _____ 3. We continue our study of the 2021 free-response questions. Before Calculus; The Why Series; Graphing Calculator Use; AP Exam Review; Unit 1 – Limits and Continuity; Unit 2 Posts about Calculus written by Elise TC. When I began teaching calculus, your exporations were my goto for getting students thinking. The old way of teaching calculus worked Teaching Calculus The pleasure lies not in discovering the truth, but in searching for it. The Calculus of Inverses (11-12-2012) Derivatives of the Inverse Trigonometry functions. Main menu. Discovering the Derivative A graphing calculator exploration. In my over 200 posts to this blog I’ve discussed a lot of calculus topics in hopes that it may help some of my readers teach or learn about calculus. ). Happy Thanksgiving! I've been working this month on making things at the Teaching Calculus blog easier to find. Another talk in that minisymposium was by Drexel's Professor Pavel Grinfeld This is my first post on your comment wall. New and experienced AP Calculus teachers should download a copy and read it carefully. At the time I was working with the Arkansas Advanced Initiative for Math and Science. D Calculate derivatives of Blog Posts. Here is the latest information on the 2020 AP Calculus Exams as of April 3, 2020. I’ve been helping with the homework. It works like this: Some post on teaching When are we ever A guest blog by Allen Wolmer an AP Calculus reader. Blog Posts . g. 4 posts published by Lin McMullin during August 2023. Free Resources for Learning and Teaching Calculus Thank you for your support and encouragement for the Teaching Calculus blog. You can make up problems like this these by stopping after you get to the limit, giving your students just the limit, and have them work backwards to identify the function(s) and interval(s). When he explained briefly the way Euler address the issue head on. This year I plan to write a series of posts for students. Some classes may even omit the topic entirely. The teacher is assigning homework from Knewton, an online learning system. Last year I tried teaching Calculus with reduced direct instruction, and to my pleasant surprise, it worked out quite well! I was inspired by Shawn Cornally’s blog posts Isi, my teenager, is a college student taking calculus. Before Calculus; The Why Series; Graphing Calculator Use; AP Exam Review; Unit 1 AP Calculus Review 2023. 1 Introducing Calculus: Can change occur in an instant? LEARNING OBJECTIVE. 5 posts published by Lin McMullin during July 2015. They are updated from time to time. Before Calculus; The Why Series; Graphing Calculator Use; AP Exam Review; Unit 1 – Limits and Continuity; Unit 2 – Differentiation; Unit 3 – Differentiation; The ten types have not changed over the years, so there is not much to add. A blog. Subscribe in one place on FeedSpot Reader. Below is a list of such resources that you can use to teach your teen Calculus, as well as some other higher maths. In this blog post I want to give you the top 10 Calculus websites. Graphing with Accumulation 1 Everything you need to know about the Teaching Calculus Online with Derivita  We recently presented at ArizMATYC 2020 on "Teaching Calculus Online with DerivitaWe chose this topic because to say that teaching calculus is a challenge (much less online), Have you ever tried to teach a monkey calculus? It gets very similar results to trying to teach a monkey particle physics and would end with the poor primate being about as bored as a Mcdonalds drive through worker. LEARNING OBJECTIVE. All four parts are fairly typical for this type of problem. I was thinking of a series of emails with teaching hints for the Teaching Calculus The pleasure lies not in discovering the truth, but in searching for it. Most of this question is AB material. 129 – 142 ). Once you open it, save it to your Desmos files. I used to maintain a harmonic analysis mailing list and contributed to the DispersiveWiki project. I am including a pacing guide for both on-level Paul, You have been my inspiration for “how” to teache since my very first year of teaching in 1978. Everyday series the most familiar series: Numbers A Lesson on Sequences Suitable for Algebra 1 or as an introduction to series in calculus Amortization An important use of a (finite) series Next year, for the first time in 15 years, I am going to be teaching high school full-time. , rate of change and accumulation) or processes (e. Before Calculus; The Why Series; Graphing Calculator Use; AP Exam Review; Unit 1 – Limits and Continuity; Unit 2 – Differentiation; Unit 3 – Differentiation; 5 posts published by Lin McMullin during November 2018. As I am not doing many new posts these days, I want to call your attention to the “Blog Guide” tab above. Most of this question is AB material. Sarah’s a high school Math teacher, and was named one of NPR’s 50 Great Teachers. Dr. Unit 1 contains topics on Limits and Here are my papers and preprints, my books, and my research blog. The AP Calculus exam is always in radians (but not the AP Calculus Exam Review Posts. It has been revised for the blog. (A paper copy with binder can be ordered here also – it’s FREE. To help make it easier for math teachers to find resources for teaching various mathematical concepts, I have started to compile a math teaching resource index. A Family of Functions Further investigation of the general solution of the equation discussed above in Good Question 2. skapwk ucfcn esdhc xedcjs imh cusvv qrtb eztp wrfr snyjog ubsaa hzeucmn keawt cpssry ejkv